Question

an angle is bisected, forming two new angles. each new angle has a measure of 78°. what was the measure of the original angle?

Explanation:

Step1: Recall bisection property

When an angle is bisected, the original angle is twice the measure of each new - formed angle.

Step2: Calculate original angle

Let the measure of the original angle be $x$. Since each new angle has a measure of $78^{\circ}$, then $x = 2\times78^{\circ}$.
$x=156^{\circ}$

Answer:

$156$